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Twisted cohomology pairings of knots III; triple cup products

Published 26 Aug 2018 in math.GT | (1808.08532v1)

Abstract: Given a representation of a link group, we introduce a trilinear form, as a topological invariant. We show that, if the link is either hyperbolic or a knot with malnormality, then the trilinear form equals the pairing of the (twisted) triple cup product and the fundamental relative 3-class. Further, we give some examples of the computation.

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